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Finding the Fourth Proportional to 4,683.69, 6,463.53 and 3,687.12

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Solution

The fourth proportional to 4,683.69, 6,463.53 and 3,687.12 is: 5,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.69 : 6,463.53 = 3,687.12 : x
  2. Step 2: Convert to fraction form
    4,683.69/6,463.53 = 3,687.12/x
  3. Step 3: Cross multiply
    4,683.69x = 6,463.53 × 3,687.12
  4. Step 4: Simplify right side
    4,683.69x = 23,831,810.73
  5. Step 5: Solve for x
    x = 23,831,810.73/4,683.69
  6. Step 6: Final answer
    x = 5,088.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.